Therefore, the perimeter of the irregular shape is 34cm .
What is perimeter?Whether it be a two-dimensional shape or a one-dimensional length, a perimeter is a closed path that contains, surrounds, or delineates it. The outermost border of an ellipse or circle is its circumference.
Here,
The perimeter of the irregular shape is
Given:
9 cm is the length of the below line and 4cm , 3cm and x is the length of the above line .
So x value is => 9 = 4 + 3+x
=> 9-7 = x
=>x= 2cm
and
thus we get all the length of the irregular shape
so adding =>
=> 4+2+3+2+3+6+5+9= 34 cm
Therefore, the perimeter of the irregular shape is 34cm .
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A scale factor of 1 or 100% would make the new image be a b an enlargement q reduction the same image Od none of these
A scale factor of 1 or 100% would make the image the same image. ( option C) is the answer.
describe a dataset where defining a confidence interval would be important for testing validity of data
The sample's data values ought to be unrelated to one another. The sample data need to be consistent. Data from the quantitative ordered pair sample should be gathered at random or in a way that is representative of the overall population. The sample's data values ought to be unrelated to one another.
A confidence interval is a much better tool to use if we wish to communicate the level of uncertainty surrounding our point estimate (CI). A confidence interval (CI) is a symmetrical range of values where the results of repeated, related experiments are likely to fall. The middle of this range corresponds to our point estimate.
Confidence intervals, which describe how closely study results match reality or how dependable they are based on statistical theory, are regularly mentioned in scientific publications.
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Who can help me on this I’ll mark you as an brainliest.
Step-by-step explanation:
(0.9, -0.5) is the answer
30 points!! WILL GIVE BRANLIEST!!Jane needs open-topped boxes to store her excess inventory at year's end. She purchases large rectangles of thick cardboard with a length of 12 inches and width of 8 inches to make the boxes. She is interested in maximizing the volume of the boxes and wants to know what size squares to cut out at each corner of the cardboard (which will allow the corners to be folded up to form the box) to do this. What is the maximum volume?
Answer: 14
Step-by-step explanation:
please I need helpppppppppppp
The value of angle a will be = 50 degrees
Since the given figure has 4 sides hence it is a quadrilateral, we know that the sum of all 4 sides should be equal to 360 degrees so,
Sum of all 4 sides = 360 degrees
The sum of the given 3 sides = 100+100+110 = 310 degrees
Angle a = Sum of all 4 sides - the sum of the given 3 sides
Angle a = 360 - 310
Angle a = 50 degrees
Hence the value of the remaining angle a = 50 degrees
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please if you can answer asap: When the vertical line test shows that there is one and only one range item for each domain item we call that relationship what?
Answer:
the relationship is a function....
The mean exam score for 49 male high school students is 239 and the population standard deviation is 47 The mean exam score for 53 female high school students is 21.1 and the population standard deviation is 4.3. At α=001, can you reject the claim that male and female high school students ha equal exam scores? Complete parts (a) through (e). Click here to view page 1 of the standard normal distribution table. Click here to view. page 2 of the standard normal distribution table. A. Male high school students have lower exam scores than female students B. Male and temale high school students have different exam scores. C. Male and female high school students have equal exam scores D. Male high school students have greater exam scores than female students
Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.
To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:
SE = sqrt((s1^2 / n1) + (s2^2 / n2))
Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:
SE = sqrt((47^2 / 49) + (4.3^2 / 53))
Next, we calculate the t-statistic using the formula:
t = (x1 - x2) / SE
Where x1 and x2 are the sample means. Plugging in the values, we have:
t = (239 - 21.1) / SE
We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.
In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.
Therefore, the correct answer is:
B. Male and female high school students have different exam scores.
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What is the multiplier? *
х y
0 0.01
1 0.005
2 0.0025
3 0.00125
options:
a) 2
b) 5
c) 1/5
d) 1/2
The sum of two numbers is 31. The second number is 4 more than the first number.
Answer:
13.5, 17.5
Step-by-step explanation:
You have two numbers whose sum is 31 and whose difference is 4. The second number is larger.
SetupLet x represent the larger number. Then the smaller is x-4, and their sum is ...
x +(x -4) = 31
SolutionSimplifying the expression gives ...
2x -4 = 31
2x = 35 . . . . . add 4
x = 17.5 . . . . . divide by 2
x -4 = 13.5
The two numbers are 13.5 and 17.5.
__
Additional comment
As we have seen here, the larger number is half the total of the 'sum' and 'difference'. (31+4)/2 = 17.5. This is the generic solution to any "sum and difference" problem.
what is the common ratio for this geometric sequence? 3,12,48,192
Answer: r=4
Step-by-step explanation:
12/3 = 4
48/3 = 4
192/48 = 4
what is the greatest common factor of 400 and 560?
i need an answer asap
80 is the greatest common factor .
What is a factor in math?
A number or algebraic expression that divides another evenly, i.e. without leaving a residue, is referred to in mathematics as a factor. For instance, the precise values of 12 3 = 4 and 12 6 = 2 show that 3 and 6 are factors of 12. 1, 2, 4, and 12 are additional factors of 12.
the prime factorization of 400
400 = 2 × 2 × 2 × 2 × 5 × 5
the prime factorization of 560
560 = 2 × 2 × 2 × 2 × 5 × 7
the GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 2 × 2 × 2 × 2 × 5
GCF = 80
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solve for x
x − 13 = 6x
x =
Answer:
The correct answer is x = -13/5.
Step-by-step explanation:
To solve this problem, we need to bring all of the x terms to one side of the equation and all of the constant terms to the other side of the equation.
First, we should subtract x from both sides to cancel out the positive x on the left side of the equation. This is modeled below:
x - 13 = 6x
x - x - 13 = 6x - x
- 13 = 5x
Next, we should divide both sides by 5 in order to get the variable x completely isolated on the right side of the equation.
-13/5 = 5x/5
-13/5 = x
Therefore, your answer is x = -13/5.
Hope this helps!
Subjects who participate in a study of patients with inflammatory bowel disease are described as the:a. accessible population. b. element. c. sample. d. target population.
The target population is the population of interest that researchers aim to generalize their findings to.
The correct answer is c. sample.
In a research study, the population of interest is often too large or too difficult to access entirely. Therefore, researchers select a representative subset of the population to study, which is called a sample. In this case, patients with inflammatory bowel disease are the population of interest, and those who participate in the study are the sample.
The accessible population refers to the portion of the population that is accessible to the researcher. For example, if a researcher is studying the prevalence of a disease in a certain region, the accessible population would be the individuals living in that region.
An element refers to a single member of the population or sample.
The target population is the population of interest that researchers aim to generalize their findings to.
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Which expression represents four more than twice a number?
Group of answer choices
2n + 4
4 + 2
n2 + 4
2n - 4
Answer:
2n+4
Step-by-step explanation:
find a value of c so that p(z ≥ c) = 0.55.
To find a value of c such that P(z ≥ c) = 0.55, we need to use a standard normal distribution table or calculator.From the standard normal distribution table, we find that the z-score corresponding to a right-tailed area of 0.55 is approximately 0.126.
Therefore, we have:
P(z ≥ c) = 0.55
P(z ≤ c) = 1 - P(z ≥ c) = 1 - 0.55 = 0.45
Using the standard normal distribution table, we find that the z-score corresponding to a left-tailed area of 0.45 is approximately -0.126.
So, c = -0.126.
Therefore, the value of c that satisfies P(z ≥ c) = 0.55 is approximately -0.126.
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If
�
x and
�
y vary directly and
�
y is 48 when
�
x is 6, find
�
y when
�
x is 12.
We can see that the constant of proportionality between x and y is k = 8, using that we can see that when x = 12 the value of y is 96
How to find the value of y when x is 12?
We know that x and y vary directly, then we can write the equation that relates these variables as.
y = kx
Where k is a constant
We know that y = 48 when x = 6, then we can write.
48 = k*6
48/6 = k
8 = k
The relation is:
y = 8*x
Then if x = 12, we have.
y = 8*12
y = 96
That is the value of y.
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Solve the following equation for the variable given
Sole Y=mx+b for b
The solution for b is y-mx in the equation y=mx+b.
The given equation is y=mx+b
y equal r=to m times of x plus b
We need to solve for b in the equation
To solve we have to isolate b from the equation
Subtract mx from both sides
y-mx=b
Hence, the solution for b is y-mx in the equation y=mx+b.
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Suppose y varies inversely with x, and y = 49 when x = 17
. What is the value of x when y = 7 ?
Answer:
119 is the value of x when y = 7
Step-by-step explanation:
Since y varies inversely with x, we can use the following equation to model this:
y = k/x, where
k is the constant of proportionality.Step 1: Find k by plugging in values:
Before we can find the value of x when y = k, we'll first need to find k, the constant of proportionality. We can find k by plugging in 49 for y and 17 for x:
Plugging in the values in the inverse variation equation gives us:
49 = k/17
Solve for k by multiplying both sides by 17:
(49 = k / 17) * 17
833 = k
Thus, the constant of proportionality (k) is 833.
Step 2: Find x when y = k by plugging in 7 for y and 833 for k in the inverse variation equation:
Plugging in the values in the inverse variation gives us:
7 = 833/x
Multiplying both sides by x gives us:
(7 = 833/x) * x
7x = 833
Dividing both sides by 7 gives us:
(7x = 833) / 7
x = 119
Thus, 119 is the value of x when y = 7.
Which of the following is the correct graph of the compound inequality 4p + 1 >-11 or 6p +3 <39
Answer:
Option C
only there is p > -3
p < 6
Answer:
c
Step-by-step explanation:
What is the name of the point from which a dilation is drawn?
Answer:
despite
Step-by-step explanation:
ion now i just learned about it 2 years ago tell me if its correct
Jorge is looking for a new job after finishing his college degree. He is currently working part time to pay the bills, but is also applying for jobs that match his career plans. Jorge is:
Jorge is a recent college graduate who is eagerly seeking new job opportunities after completing his degree.
Currently, he is working part-time to cover his expenses, but his true ambition lies in finding a job that aligns with his long-term career plans. In order to achieve this, Jorge has been actively applying to various positions that match his professional aspirations and utilize the knowledge and skills he acquired during his college education.
Jorge's qualifications can be measured by various factors such as his college degree, GPA, relevant coursework, internships, and any additional certifications he may have obtained. These factors contribute to his overall level of qualification, denoted as x.
Mathematically, we can express this as:
C(x) ≥ D(x)
This inequality indicates that Jorge's qualifications need to meet or surpass the demands of the job market for him to be considered a strong candidate for the career opportunities he desires.
In summary, Jorge's current situation involves a pursuit of a fulfilling career that matches his aspirations.
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Introduction to Probability
Please show all work
Suppose you are taking an exam that only includes multiple choice questions. Each question has four possible choices and only one of them is correct answer per question. Questions are not related to the material you know, so you guess the answer randomly in the order of questions written and independently. The probability that you will answer at most one correct answer among five questions is
The probability of guessing the correct answer for each question is 1/4, while the probability of guessing incorrectly is 3/4.
To calculate the probability of answering at most one correct answer, we need to consider two cases: answering zero correct answers and answering one correct answer.
For the case of answering zero correct answers, the probability can be calculated as (3/4)^5, as there are five independent attempts to answer incorrectly.
For the case of answering one correct answer, we have to consider the probability of guessing the correct answer on one question and incorrectly guessing the rest. Since there are five questions, the probability for this case is 5 * (1/4) * (3/4)^4.
To obtain the probability of answering at most one correct answer, we sum up the probabilities of the two cases:
Probability = (3/4)^5 + 5 * (1/4) * (3/4)^4.
Therefore, by calculating this expression, you can determine the probability of answering at most one correct answer among five questions when guessing randomly.
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Josh was driving on a road that had a 30 mi/h speed limit posted. A deer jumped out from the side of the road, causing him to slam on the brakes. His tires left 71 ft skid marks. The road had a drag factor of 0.78. His brakes were operating at 95% efficiency. Should Josh get a ticket for speeding?
Answer no
Step-by-step explanation:
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5. if 16,000 units are produced, what is the average fixed manufacturing cost per unit produced?
The average fixed manufacturing cost per unit produced is $16.
How to determineThe average fixed manufacturing cost per unit produced if 16,000 units are produced can be found as follows:
The given data is
Average Fixed Manufacturing Cost (FC) = $640,000
Total Units Produced (Q) = 40,000
Therefore,Average Fixed Manufacturing Cost per unit produced (P) = FC / Q$
P = 640000 / 40000$
P = 16
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Select all the expressions which have 3 as the greatest common factor of the terms.
A. b + 3 + 6c
B. 27n + 66p
C. 38 – 9j + 6k
D. 12x + 75y + 21
E. –32 – 24z
There are A to E equations. The equation B and D area the equations have 3 as the greatest common factor.
Given that,
There are A to E equations.
We have to find that which equation is having 3 as the greatest common factor.
To check the the greatest common factor we have to multiply by 3.
A. b+3+6c
Divide by 3.
b/3+3/3+6c/3
b/3+1+2c
The equation does not have 3 as the greatest common factor.
B. 27n+66p
Divide by 3
27n/3+66p/3
9n+22p
The equation have 3 as the greatest common factor.
C.38-9j+6k
Divide by 3
38/3-9j/3+6k/3
38/3-3j+2k
The equation does not have 3 as the greatest common factor.
D.12x+75y+21
Divide by 3
12x/3+75y/3+21/3
4x+25y+7
The equation have 3 as the greatest common factor.
E. -32-24z
Divide by 3
-32/3-24z/3
-32/3-8z
The equation does not have 3 as the greatest common factor.
Therefore, The equation B and D area the equations have 3 as the greatest common factor.
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There were 53 competitors in a downhill skiing event. Their times in seconds) are shown below. Complete parts a through d below 98.06 98.09 98.46 9847 99.09 98.96 98 99 99.12 99.35 99.57 99.98 100.08 100.11 100.28 100.64 101.32 101.06 101.25 101.34 101.39 102.48 101.99 103.01 103.87 104.11 103.64 104.15 104.27 104.37 104.33 104.52 105.47 105.48 105.69 105.61 113.02 105.73 109.65 106.92 116.11 117.43 117.59 99.09 100 67 103.12 105.02 114.55 99.11 100.77 103.18 105.39 115.97 a) The mean time was 103 59 seconds, with a standard deviation of 5 16 seconds if the Normal model is appropriate what percent of times will be less than 98 43 secon (Round to the nearest integer os needed) b) What is the actual percent of times less than 98.43 seconds? (Round to one decimal place as needed) c) Do the two percentages agree? Why or why not? OA. Yes, because a Normal probability plot shows that the Normal model is appropriate OB. No, because a Normal probability plot shows that the Normal model is appropriate O C Yes, because a Normal probability plot shows that the Normal model is not appropriate O D. No, because a Normal probability plot shows that the Normal model is not appropriate
The two percentages do not agree. Hence, option D is correct.
a) The mean time was 103.59 seconds, with a standard deviation of 5.16 seconds. If the Normal model is appropriate, the percentage of times that will be less than 98.43 seconds can be calculated as follows:
z = (x - μ) / σz = (98.43 - 103.59) / 5.16z = -1.00Using z-score table, we can determine that the percentage of times that will be less than 98.43 seconds is approximately 15%.
Therefore, the percentage of times that will be less than 98.43 seconds is 15%.
(Round to the nearest integer as needed)Hence, option A is correct.b) The actual percentage of times less than 98.43 seconds can be calculated by finding the number of competitors that finished with a time less than 98.43 seconds and dividing that number by the total number of competitors.
98.06, 98.09, 98.46, 98.47, 98.96, 98, 99, 99.12, 99.35, 99.57, 99.98, 100.08, 100.11, 100.28, 100.64, 101.32, 101.06, 101.25, 101.34, 101.39, 102.48,
101.99, 103.01, 103.87, 104.11, 103.64, 104.15, 104.27, 104.37, 104.33, 104.52, 105.47, 105.48, 105.69, 105.61, 113.02, 105.73, 109.65, 106.92, 116.11, 117.43, 117.59, 99.09, 100.67, 103.12, 105.02, 114.55, 99.11, 100.77, 103.18, 105.39, 115.97
There are no competitors who finished with a time less than 98.43 seconds. Therefore, the actual percentage of times less than 98.43 seconds is 0%. (Round to one decimal place as needed)Thus, option D is correct.c) The two percentages do agree.
This is because the Normal probability plot shows that the Normal model is not appropriate.
Therefore, the actual percentage of times less than 98.43 seconds is 0%, which is different from the percentage that was calculated using the Normal model. Since the Normal model is not appropriate, the actual percentage of times is more accurate.
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Thang decided to borrow $3000 from his local bank to help pay for a car. His loan was for 3 years at a simple interest rate of 5%. How much interest will Thang pay?
Answer:
$450
Step-by-step explanation:
x/3000 = 5/100 (Cross multiply)
100x = 3000(5)
100x = 15000
100x/100 = 15000/100
x = 150
150(3) = 450
find the range of the data 52 40 49 48 62 54 44 58 and 39 range is what
Answer:
Hi! The answer to your question is the range is 23
Step-by-step explanation:
Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is 62-39=23
VOCAB:
Minumum Data = Smallest Number
Maximum Data = Largest Number
Data Range = The set of y-values that a function passes through, Also the right coordinate in a coordinate pair.
In statistics, the difference between the largest number and the smallest numbers in a data set.
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☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
4. Which is an algebraic expression for the word phrase "8 less than the product of 12 and a
number x?
Answer:
12x-8
Step-by-step explanation:
Answer:
12x-8
Step-by-step explanation:
Find the slope given the graph below:
Answer:
5/3
Step-by-step explanation:
rise over run
(y2-y1)/(x2-x1)
(-2-3)=-5
(-2-1)=-3